๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Determination temperature of a backward heat equation with time-dependent coefficients

โœ Scribed by Nguyen Huy Tuan, Ngo Van Hoa

Book ID
119932433
Publisher
SP Versita
Year
2012
Tongue
English
Weight
179 KB
Volume
62
Category
Article
ISSN
0139-9918

No coin nor oath required. For personal study only.

โœฆ Synopsis

We introduce the truncation method for solving a backward heat conduction problem with time-dependent coefficients. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

๐Ÿ“œ SIMILAR VOLUMES

Finite element of the heat conduction eq
Finite element of the heat conduction equation with temperature dependent coefficients
โœ George A. Keramidas ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

A finite element formulation is derived for the equation of heat conduction with temperature dependent conductivity and heat capacity. The derivation of the finite element model is based on a variational formulation of the heat conduction equation which, together with generalized coordinates, yields